 # To calculate: The least common denominator for the pair of expressions frac{x + 3}{x^{2} + 20x 100} and frac{3}{2x^{2} + 20x} Kyran Hudson 2021-01-31 Answered
To calculate: The least common denominator for the pair of expressions
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The least common denominator for the pair of expressions
Given Information:
The provided expressions are,
Formula used:
The least common denominator (LCD) of two or more rational expressions is calculated as follows:
Step 1: Find the factors of the denominators.
Step 2: Multiply all the unique prime factors with their highest power from all the denominators. The product would be the LCD.
Calculation:
Consider the provided expressions,
First factor the denominators of the rational expressions as,

And,

Now, consider the product of each factor raised to its highest power, which is the LCD. Hence, the least common denominator is,
Therefore, the least common denominator for the pair of i 2 expressions